Combinatorial Criteria for Ramifiable Ordered Sets
β Scribed by Olivier Esser; Roland Hinnion
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 251 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0044-3050
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π SIMILAR VOLUMES
In this paper, we study the notion of arborescent ordered sets, a generalization of the notion of tree-property for cardinals. This notion was already studied previously in the case of directed sets. Our main result gives a geometric condition for an order to be β΅0-arborescent.
An important well-known result of Rota describes the relationship between the Mo bius functions of two posets related by a Galois connection. We present an analogous result relating the antipodes of the corresponding incidence Hopf algebras, from which the classical formula can be deduced. To motiva